Universality in Orbit Spaces of Compact Linear Groups - Project Euclid
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Universality in Orbit Spaces of Compact Linear Groups - Project Euclid
the compact coregular linear groups of transformations of 1RÎ In particular we show that a contra variant metric matrix P(p) can be defined in the interior of
Universality in Orbit Spaces of Compact Linear Groups* G. Sartori and V. Talamini Dipartimento di Fisica, Universita di Padova, and INFN, Sezione di Padova, I-351OO Padova, Italy Received July 2, 1990; in revised form February 28, 1991
Abstract. If {p1(x\ ..., pq(x)} is a minimal integrity basis of the ideal of polynomial invariants of a compact coregular linear group G, the orbit map yields a diffeomorphic image $f = p(Rn) £ R β of the orbit space ΈZS/G. Starting from this fact, we point out some properties which are common to the orbit spaces of all the compact coregular linear groups of transformations of 1RΛ In particular we show that a contra variant metric matrix P(p) can be defined in the interior of
